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BlackZzzverrR [31]
3 years ago
15

A pack of confectioneries contains candies in four (4) flavors (berry, lemon, orange and cacao), 3 pieces each. Candies are dist

ributed randomly in the pack. You draw the first three (3) pieces from the pack. What is the probability that they are all different flavors?
Mathematics
1 answer:
suter [353]3 years ago
7 0

Answer:

The probability is 0.4909

Step-by-step explanation:

The following equation for nCk give as the number of ways in which we can select k elements from a group of n elements:

nCk=\frac{n!}{k!(n-k)!}

Then, there are 220 ways in which we can select 3 candies from the 12 that are in the pack. It is calculated as:

12C3=\frac{12!}{3!(12-3)!}=220

On the other hand, there are 108 different ways to select the 3 candies in which they are all different flavors. It is calculated as:

4C3 * 3C1 * 3C1 * 3C1 = 108

Because, 4C3 give us the number of ways to select 3 flavors from the 4 flavors. From this 3 flavors selected, we are going to select one candie from each one, so we multiply 3 times by 3C1, one for each flavor.

Finally, the probability is the division between the number of ways in which we can select 3 candies with different flavors and the total number of ways in which we can select 3 candies from the 12 in the pack. This is:

P=\frac{108}{220}=0.4909

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The inequality for the graph and please answer quickly
Marizza181 [45]

Answer:

x ≥ 1

Step-by-step explanation:

  1. The circle is over 1
  2. The circle is closed (filled in), which means it will be either ≤ or ≥.
  3. The arrow is pointing right, so it's ≥.
  4. The number can be represented by x
  5. Put it together: x ≥ 1

I hope this helps!

3 0
3 years ago
Roy is 30 miles from dallas ready to leave for pecos
12345 [234]

Answer:

It represents the 270 miles that Roy and Travis must travel in 4 hours in order to meet somewhere along the highway.

Step-by-step explanation:

From the information given, the point of interception (4, 270) represent the number of distance, 270 miles, that both Roy and Travis must travel in 4 hours in order to meet along the highway where Roy will give Travis the key to a treasure chest to Roy.

4 0
3 years ago
The value of Peter's house has risen 20% a year for the last 3 years. If the value of Peter's home 3 years ago was $110,000.00,
IRISSAK [1]
Increase $110,000 by 20% 3 times.

110,000 x 0.2 = 22000
(0.2 is 20% as a decimal, we needed to convert it to multiply it)

So we must add 22000 to 110,000, then take 20% of the new cost, and repeat.

Add them
110,000 + 22000 = 132000

Take 20% of new value
132000 x 0.2 = 26400

Add that
132000 + 26400 = 158400

Take another 20% of that
31680

Add them
158400 + 31680 = 190080

So the value is now $190,080

A much more efficient way to do this would be multiplying 1.2 instead of 0.2, and skipping the adding part, as you already took 100% of it and are adding 20% more.

Hope this helps!
4 0
3 years ago
Read 2 more answers
Represent the set of numbers as decimals on the number line {5 3/10, 5 1/10, 5 and if you answer more than needed thank you
Alina [70]

Answer:

(0.53 > 0.51) both less than 1 while 5 is greater than both

Step-by-step explanation:

\frac{53}{10} = .53, \frac{51}{10} = .51. and 5

the number line has two sides, with the left side for negative numbers while the right side is for positive numbers.

             <u>                                                                                 </u>

              -5  -4  -3  -2  -1  -.53  -.51   0  .51 .53  1  2  3  4  5            

By studying the number line above all decimal numbers greater than 0 but less than 1 are from 0, .1, .2,.........,.98, .99, 1.00 which is also the same as 1 because all numbers greater than 1 has an invisible point at its right side like 2., 3. which also means 2, 3 while negative number are all less than 0

7 0
3 years ago
N = 32 ÷ (5 - 1)<br> N = 32 ÷ ?<br> N =?
Roman55 [17]

Answer

N = 32 ÷ (5 - 1)

N = 32 ÷ 4

N =8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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